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2382006 = 2311217193
BaseRepresentation
bin1001000101100010110110
311111000111110
421011202312
51102211011
6123015450
726150424
oct11054266
94430443
102382006
111387700
1296a586
13655293
14460114
15320ba6
hex2458b6

2382006 has 48 divisors (see below), whose sum is σ = 5573232. Its totient is φ = 675840.

The previous prime is 2382001. The next prime is 2382073. The reversal of 2382006 is 6002832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2382001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12246 + ... + 12438.

It is an arithmetic number, because the mean of its divisors is an integer number (116109).

22382006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2382006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786616).

2382006 is an abundant number, since it is smaller than the sum of its proper divisors (3191226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2382006 is a wasteful number, since it uses less digits than its factorization.

2382006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2382006 is about 1543.3748734510. The cubic root of 2382006 is about 133.5511453795.

Adding to 2382006 its reverse (6002832), we get a palindrome (8384838).

The spelling of 2382006 in words is "two million, three hundred eighty-two thousand, six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 193 242 363 374 386 561 579 726 1122 1158 2057 2123 3281 4114 4246 6171 6369 6562 9843 12342 12738 19686 23353 36091 46706 70059 72182 108273 140118 216546 397001 794002 1191003 2382006